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Finding the Fourth Proportional to 880.52, 1,215.24 and 507.46

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Solution

The fourth proportional to 880.52, 1,215.24 and 507.46 is: 700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.52 : 1,215.24 = 507.46 : x
  2. Step 2: Convert to fraction form
    880.52/1,215.24 = 507.46/x
  3. Step 3: Cross multiply
    880.52x = 1,215.24 × 507.46
  4. Step 4: Simplify right side
    880.52x = 616,685.69
  5. Step 5: Solve for x
    x = 616,685.69/880.52
  6. Step 6: Final answer
    x = 700.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.